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Finding the Fourth Proportional to 601.26, 830.52 and 444.24

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Solution

The fourth proportional to 601.26, 830.52 and 444.24 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 830.52 = 444.24 : x
  2. Step 2: Convert to fraction form
    601.26/830.52 = 444.24/x
  3. Step 3: Cross multiply
    601.26x = 830.52 × 444.24
  4. Step 4: Simplify right side
    601.26x = 368,950.20
  5. Step 5: Solve for x
    x = 368,950.20/601.26
  6. Step 6: Final answer
    x = 613.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.